For the first line we have a slope of (y2-y1)/(x2-x1)
(2--2)/(1--1)=4/2=2 so we have:
y=2x+b, now solve for b with either of the points, I'll use: (1,2)
2=2(1)+b
b=0 so the first line is:
y=2x
Now the second line:
(1-10)/(4--2)=-9/6=-3/2 so far then we have:
y=-3x/2+b, using point (4,1) we solve for b...
1=-3(4)/2+b
1=-6+b
b=7 so
y=-3x/2+7 or more neatly...
y=(-3x+14)/2
...
The solution occurs when both the x and y coordinates for each are equal, so we can say y=y, and use our two line equations...
2x=(-3x+14)/2
4x=-3x+14
7x=14
x=2, and using y=2x we see that:
y=2(2)=4, so the solution occurs at the point:
(2,4)
(6 x 2)( 49/7) + 5 =
(12)(7) + 5 =
84 + 5 =
89
89 is your answer
hope this helps
Peanut oil freezes at a higher temperature because 3.1°C > -20°C
A= -48
b= -240
c= 8
D-F I have no clue yet what that is
If two line crosses, then the vertical angles are the angles opposite each other. In this way, these angles share the same vertex. So, the vertical angles are always equal. Therefore, in this problem, the right answers are:
1. ABE and CBD
Notice that the vertex is B, so these two angles share the same vertex. Accordingly, these two angles are vertical angles.
2. ABC and EBD
The same reasoning is applied here. The vertex is also B. Notice that <em>the angles CBD and ABD add up to 180 degrees. </em>
